MS Seminar (Mathematics - String Theory)

Speaker: Timm Wrase (Stanford U)
Title: Moonshine and String Theory
Date: Thu, Aug 07, 2014, 13:15 - 14:45
Place: Seminar Room A
Related File: 1258.pdf
Abstract: I will start by giving a general introduction to moonshine phenomena which are connections between sporadic groups and modular functions. Then I will discuss how the Mathieu moonshine that was discovered by Eguchi, Ooguri and Tachikawa in 2010 appears in a variety of string theory compactifications. By using string dualities I will show that the Gromov-Witten invariants of certain CY_3 manifolds are connected to representations of the largest Mathieu group M_24. I will then present new moonshine phenomena that are the first examples of explicitly realized modules underlying moonshine phenomena relating mock modular forms to sporadic simple groups.